Answer :
Explanation:
Formula to calculate angular acceleration is as follows.
[tex]\Delta (\theta) = \frac{1}{2} \alpha \Delta t^{2} + \omega_{1} \Delta t[/tex]
or, [tex]\alpha = \frac{2(\Delta (\theta) - \omega_{1} \Delta t)}{\Delta t^{2}}[/tex]
Putting the given values into the above formula as follows.
[tex]\alpha = \frac{2(\Delta (\theta) - \omega_{1} \Delta t)}{\Delta t^{2}}[/tex]
= [tex]\frac{2(18.0 rad - 2.5 rad/s \times 5.30 s)}{(5.39)^{2}}[/tex]
= 0.326 [tex]rad/s^{2}[/tex]
Thus, we can conclude that the wheel’s angular acceleration if its initial angular speed is 2.5 rad/s is 0.326 [tex]rad/s^{2}[/tex].